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alexandr402 [8]
3 years ago
7

Karen buys a sweatshirt for 30$ she sale tax is 7%

Mathematics
1 answer:
alexandr1967 [171]3 years ago
7 0

Answer:

51

Step-by-step explanation:

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A data set of 27 different numbers has a mean of 33 and a median of 33. A new data set is
Svetllana [295]

Answer:

Option D.

Step-by-step explanation:

Suppose that we have a set of N values:

{x₁, x₂, ..., xₙ}

The median is the value in the middle, and the mean is calculated as:

M = \frac{(x_1 + x_2 + x_3 ... + x_n)}{N}

Because here we have "the median" then we will assume that N is odd, and there is only one median, the value "k"  (if N was even, the median would be the mean of the two middle values, that case is really similar to the case where N is odd, so solving only one of the cases is enough)

Now we add 7 to all the values greater than the median

We subtract 7 to all values smaller than the median.

Then the median remains unchanged (because we did not add nor subtract anything to the median).

The new mean will be:

M' = \frac{(x_1 - 7) + (x_2 - 7) + ... + (x_{k}) + ... + (x_n + 7)}{N} = \frac{(x_1 + x_2 + ... + x_n) + (-7)*(n/2 - 0.5) + 7*(n/2 - 0.5)}{N}  = \frac{(x_1 + x_2 + ... + x_n)}{N} = M

So the mean does not change.

Because the mean is computed as the sum of the numbers divided by N, and the mean does not change, and N does not change, then the sum of the numbers does not change.

Finally, the standard deviation is computed as:

SD = \sqrt{\frac{(x_1 - M)^2 + ... + (xn - M)^2}{N} }

Because M does not change, if we add or subtract numbers to some of the values, the standard deviation will change (Because all the terms are squared, so the added and subtracted sevens don't cancel like in the previous cases)

Then the only value that does not have the same value in both the original and new data sets is the standard deviation.

6 0
3 years ago
Suppose that F(x)=x3 and G(x)=-5x3+2 which statement best compares the graph of g(x) with the graph of F(x)
eimsori [14]

Answer:

The graph of G(x) is the graph of F(x) stretched vertically, flipped over the x-axis, and shifted 2 units up

Step-by-step explanation:

I like math.

5 0
2 years ago
Aliyah spent half of her weekly allowance playing arcade games. To earn more money her parents let her mow the lawn for $7. What
Fudgin [204]

Answer:

who mows the lawn for 7 dollars :/

Step-by-step explanation:

4 0
3 years ago
FIST ONE TO AWNSER AND CORRECT GETS BRAINLYIST AND 50 POINTS HURRY!!!!!!!!!!!!
ANEK [815]

Answer:

D

Step-by-step explanation:

It is because you can see the line pass through the value 0 in x-axis while 6 in y-axis which gives the first coordinate (x,y) = (0,6) and the line also past through the value of 5 in x-axis and 1 in y-axis which gives the second coordinate is (1,5).

So it is true that the line did go through at points (0,6) and (1,5).

7 0
2 years ago
Read 2 more answers
Can anyone help with this problem?
Volgvan
Answer: the answer D
5 0
2 years ago
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